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Finding the Fourth Proportional to 10,973.85, 15,144.15 and 6,495.99

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Solution

The fourth proportional to 10,973.85, 15,144.15 and 6,495.99 is: 8,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.85 : 15,144.15 = 6,495.99 : x
  2. Step 2: Convert to fraction form
    10,973.85/15,144.15 = 6,495.99/x
  3. Step 3: Cross multiply
    10,973.85x = 15,144.15 × 6,495.99
  4. Step 4: Simplify right side
    10,973.85x = 98,376,246.96
  5. Step 5: Solve for x
    x = 98,376,246.96/10,973.85
  6. Step 6: Final answer
    x = 8,964.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.